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Finding the Fourth Proportional to 537,016.38, 741,070.50 and 291,995.82

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Solution

The fourth proportional to 537,016.38, 741,070.50 and 291,995.82 is: 402,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,016.38 : 741,070.50 = 291,995.82 : x
  2. Step 2: Convert to fraction form
    537,016.38/741,070.50 = 291,995.82/x
  3. Step 3: Cross multiply
    537,016.38x = 741,070.50 × 291,995.82
  4. Step 4: Simplify right side
    537,016.38x = 216,389,488,325.31
  5. Step 5: Solve for x
    x = 216,389,488,325.31/537,016.38
  6. Step 6: Final answer
    x = 402,947.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.